WASET
	%0 Journal Article
	%A Gokhan Soydan and  Musa Demirci and  Nazli Yildiz Ikikardes and  Ismail Naci Cangul
	%D 2007
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 1, 2007
	%T Rational Points on Elliptic Curves 2 3 3y = x + a inF , where p 5(mod 6) is Prime
	%U https://publications.waset.org/pdf/14639
	%V 1
	%X In this work, we consider the rational points on elliptic curves over finite fields Fp where p ≡ 5 (mod 6). We obtain results on the number of points on an elliptic curve y2 ≡ x3 + a3(mod p), where p ≡ 5 (mod 6) is prime. We give some results concerning the sum of the abscissae of these points. A similar case where p ≡ 1 (mod 6) is considered in [5]. The main difference between two cases is that when p ≡ 5 (mod 6), all elements of Fp are cubic residues.

	%P 109 - 112